Search a number
-
+
211200222112002 = 23271298515536109
BaseRepresentation
bin110000000001010111100010…
…001101110010100100000010
31000200210112200121111212202200
4300001113202031302210002
5210140301023330041002
62025104013111454030
762325466250416044
oct6001274215624402
91020715617455680
10211200222112002
11613275694494a2
121b830027087316
1390b0131a2bc06
143a22206977a94
151963c08443b1c
hexc015e2372902

211200222112002 has 48 divisors (see below), whose sum is σ = 464061187661760. Its totient is φ = 69406185996000.

The previous prime is 211200222111997. The next prime is 211200222112007. The reversal of 211200222112002 is 200211222002112.

It is a happy number.

211200222112002 is a `hidden beast` number, since 211 + 20 + 0 + 22 + 211 + 200 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (211200222111997) and next prime (211200222112007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211200222112007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35381524 + ... + 40917632.

It is an arithmetic number, because the mean of its divisors is an integer number (9667941409620).

Almost surely, 2211200222112002 is an apocalyptic number.

211200222112002 is an abundant number, since it is smaller than the sum of its proper divisors (252860965549758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211200222112002 is a wasteful number, since it uses less digits than its factorization.

211200222112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566039 (or 5566036 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211200222112002 its reverse (200211222002112), we get a palindrome (411411444114114).

The spelling of 211200222112002 in words is "two hundred eleven trillion, two hundred billion, two hundred twenty-two million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 29851 59702 89553 179106 268659 537318 2119421 4238842 5536109 6358263 11072218 12716526 16608327 19074789 33216654 38149578 49824981 99649962 393063739 786127478 1179191217 2358382434 3537573651 7075147302 165258389759 330516779518 495775169277 991550338554 1487325507831 2974651015662 11733345672889 23466691345778 35200037018667 70400074037334 105600111056001 211200222112002